b = 2.15 (slider from -5 to 5)
a = 3 (slider from -5 to 5)
c = 0.01 (slider from -5 to 5)
f(x) = ((b * sqrt(1 - (x - a)^(2) / a^(2))) * (1 + (c * x)))
A = (-0.1935027424064013, -2.4981526374598624)
B = (6.211112278061889, -2.4981526374598624)
V(x) = (π * Integral[f(x)^(2), 0, (2 * a)])